1. 2,452 + 573 =
2. 30,000 - 700 =
3. 5 x 6 x 2 =
4. 720 ÷ 9 =
Have a go at these arithmetic calculations.
157.5 – 38.69 =
_____ = 7
8x 6
1.
2.
3.
Complete as many of these as you can in 3 minutes:
Calculation
Calculate
Number sentence
Sign
Operation
Symbol
Inverse
Equation
Division
Divided by
Share
Can I apply what I have learnt to solve calculations?
Lesson 12
Personal Target: What are you going to focus on today?
- Read the calculation
- Check the operation you need to use
- Solve the calculation
- Check your answer
We are going to do a little bit of practise with dividing and revising the strategies we can use to
solve division calculations.
Have a go at the questions on the following pages. Check the clue to help you choose the
correct strategy.
The strategy and answer for each question will appear on the next page to the question.
Clue: Try using the inverse for this question. ? X 7 = 42
42 ÷ 7
▪ Use the inverse (x)▪ 7 times table knowledge: 7 x what = 42?
▪ 7 x 6 = 42▪ Therefore, 42 ÷ 7 = 6
Clue: Imagine that 480 was 48, solve that calculation and then multiply the answer by 10. This may make things
less scary!
480 ÷ 8
▪ Ignore the 0 and work out 48 ÷ 8 = 6▪ Now remember the 0.
▪ 48 x 10 = 480▪ Multiply your answer of 6 by 10
▪ Therefore, 480 ÷ 8 = 60
Clue: You need to use long division for this question.
1275 ÷ 15▪ You need to use long division to solve this question.▪ First work out the 15 x table up to 9 x (if you need
to go that far)▪ How many times does 15 go into 1 = 0▪ Put 0 above the 1 in the answer▪ How many times does 15 go into 12 = 0▪ Put a 0 above the 2 in the answer▪ How many times does 15 go into 127?
▪ Look at your 15 times table. 8 x 15 = 120. 9 x 15
= 135 so this is too much.▪ Put 8 above the 7 in the answer▪ Subtract 120 from 127▪ Bring down the 5 from 1275 and put next to the 7▪ How many times does 15 go into 75?▪ Check your 15 times table: 75 ÷ 15 = 5▪ Put 5 next to the 8 in the answer▪ If there are no remainders then you have finished.▪ If you still have remainders, repeat previous steps.
1 X 15 = 152 X 15 = 303 X 15 = 454 X 15 = 605 X 15 = 756 X 15 = 907 X 15 = 1058 X 15 = 1209 X 15 = 135
008515 1275
- 1200075
Clue: Use the ‘bus stop method’ to help you here. Do you know your 5 times table?
6970 ÷ 5
1 3 9 0
5 6 9 7 0
▪ You can use short division to solve this question.▪ How many times does 5 go into 6 = 1 with 1 left
over▪ Put 1 above the 6 in the answer▪ Carry the remainder of 1 over to the 9 to make 19▪ How many times does 5 go into 19? 3 times with a
remainder of 4▪ Put 3 above the 9 in the answer▪ Carry the remainder of 4 over to the 7 to make 47▪ How many times does 5 go into 47? 9 times with a
remainder of 2▪ Put 9 above the 7 in the answer▪ Carry the remainder of 2 over to the 0 to make 20.▪ How many times does 5 go into 20? 4 times with
no remainder.▪ Put 4 above the 0 in the answer.▪ If there are no remainders then you have finished.
1 4 2
Clue: There should be NO REMAINDERS here!
9810 ÷ 15▪ You need to use long division to solve this question.▪ First work out the 15 x table up to 9 x (if you need
to go that far)▪ How many times does 15 go into 9 = 0▪ Put 0 above the 9 in the answer▪ How many times does 15 go into 98?
▪ Look at your 15 times table. 6 x 15 = 90. 7 x 15
= 105 so this is too much.▪ Put a 6 above the 8 in the answer▪ Subtract 90 from 98▪ Bring down the 1 from 9810 and put next to the 8▪ How many times does 15 go into 81?▪ Check your 15 times table: 5 x 15 = 75▪ Put 5 next to the 6 in the answer▪ Subtract 75 from 81.▪ Bring down the 0 from 9810▪ How many times does 15 go into 60? 4▪ Put a 4 above the 0 in answer.▪ No remainders so finished.
1 X 15 = 152 X 15 = 303 X 15 = 454 X 15 = 605 X 15 = 756 X 15 = 907 X 15 = 1058 X 15 = 1209 X 15 = 135
0 6 5 415 9 8 1 0
- 9 00 8 1
- 7 56 0
7 1
Clue: Are we dividing or are we using our inverse and multiplying here?
¼ ÷ 2
• The whole number 2 can be written as a fraction: 2
1• When dividing fractions,
remember the letters KCF: Keep, Change, Flip.
• Keep the first fraction the same.• Change ÷ to x• Flip the second fraction.• Multiply the numerators and
the denominators.
1 ÷ 2 = 1 ÷ 24 4 1
1 X 1 = 14 2 8
Clue: Use long division to solve this calculation.
9143 ÷ 41▪ You need to use long division to solve this question.▪ First work out the 41 x table up to 9 x (if you need to go
that far – in this case I am first going up to 5 x 41)▪ How many times does 41 go into 9 = 0▪ Put 0 above the 9 in the answer▪ How many times does 41 go into 91?
▪ Look at your 41 times table. 2 x 41 = 82. 3 x 41 = 123
so this is too much.▪ Put a 2 above the 1 in the answer▪ Subtract 82 from 91▪ Bring down the 4 from 9143 and put next to the 9▪ How many times does 41 go into 94?▪ Check your 41 times table: 2 x 41 = 82▪ Put 2 next to the 2 in the answer▪ Subtract 82 from 94.▪ Bring down the 3 from 9143▪ How many times does 41 go into 123? 3▪ Put a 3 above the 3 in answer.▪ No remainders so finished.
1 X 41 = 412 X 41 = 823 X 41 = 1234 X 41 = 1645 X 41 = 205
0 2 2 341 9 1 4 3
- 8 20 9 4
- 8 21 2 3
18
Clue: Remember KCF!
6 ÷ 28 • The whole number 2 can be
written as a fraction: 21
• When dividing fractions, remember the letters KCF: Keep, Change, Flip.
• Keep the first fraction the same.• Change ÷ to x• Flip the second fraction.• Multiply the numerators and
the denominators.• Simplify the answer if
necessary.
6 ÷ 2 = 6 ÷ 28 8 1
6 X 1 = 6 = 38 2 16 8
Your task:
Complete the questions on the worksheet.
Plenary:
Create 5 division questions (with answers) and send them to your teacher so they can include
them in future tests!
Rosen: [email protected]: [email protected]